个人简介
教育背景
1999-2003年,郑州大学,应用数学,学士学位
2003-2008年, 中国工程物理研究院研究生部,应用数学,博士学位
工作简历
2008.07-至今,北京航空航天大学,数学科学学院
科研项目
国家自然科学基金青年项目,10901012,流体动力学方程的Fourier局部化方法,2010/01-2012/12,主持
国家自然科学基金面上项目, 11171034, 流体动力学方程中若干问题的研究,2012/01-2015/12,参与
国家自然科学基金面上项目,1771423, 关于一些流体动力学方程的数学理论, 2018/01-2021/12,参与
国家自然科学基金面上项目,11871087,在流体动力学方程和Keller-Segel方程中的调和分析方法,2019/01-2022/12,参与
所获奖励
校优秀班主任,二等奖 (2013)
“我爱我师”优秀青年教师奖(2015)
多次作为主要成员获得校级教学成果奖一、二、三等奖
近期论文
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Yao Nie, Jia Yuan, Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces, Nonlinear Analysis(2020)111782,
Weiwei Hu, Yanzhen Wang, Jiahong Wu, Bei Xiao, Jia Yuan, Partially dissipative 2D Boussinesq equations with Navier type boundary conditions, Physica D Nonlinear Phenomena, 376/377(2018), 39-48.
Fuyi Xu, Jia Yuan, On the well-posedness for a multi-dimensional compressible viscous liquid-gas two-phase flow model in critical spaces, Z. Angew. Math. Phys. , 66 (2015), no. 5, 2395–2417.
Fuyi Xu, Shengang Hao, Jia Yuan,Well-posedness for the density-dependent incompressible flow of liquid crystals, Math. Methods Appl. Sci. 38 (2015), no. 13, 2680–2702.
Fuyi Xu, Jia Yuan, Yonghong Wu, Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data, J. Math. Anal. Appl. 422 (2015), no. 2, 940–959.
Fuyi Xu, Jia Yuan, On the global well-posedness for the 2D Euler-Boussinesq system, Nonlinear Analysis: Real World Applications, Volume 17 (2014), 137--146.
Suxia Xia, Jia Yuan, Existence and scattering of small solutions to a Boussinesq type equation of sixth order, Nonlinear Analysis,73 (2010), 1015--1027.
Jia Yuan, Existence theorem and regularity criteria for the generalized MHD equations, Nonlinear Analysis: Real World Applications 11 (2010), 1640--1649.
Baoquan Yuan, Jia Yuan, Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces, J. Differential Equations, 246 (2009), no. 11, 4405–4422.
Jia Yuan, Junyong Zhang, Low regularity for the nonlinear Klein-Gordon systems, Nonlinear Analysis, Vol.70 (2009), 982-998.
Jia Yuan, On regularity criterion for the dissipative quasi-geostrophic equations, J. Math. Anal. Appl., Vol. 340(2008), 334-339.